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Finding the Third Proportional to 97,721.44 and 146,816.93

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Solution

The third proportional to 97,721.44 and 146,816.93 is: 220,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,721.44 : 146,816.93 = 146,816.93 : x
  2. Step 2: Convert to fraction form
    97,721.44/146,816.93 = 146,816.93/x
  3. Step 3: Cross multiply
    97,721.44x = 146,816.93 × 146,816.93
  4. Step 4: Simplify right side
    97,721.44x = 21,555,210,842.86
  5. Step 5: Solve for x
    x = 21,555,210,842.86/97,721.44
  6. Step 6: Final answer
    x = 220,578.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.